Loyola College B.Sc. Physics April 2008 Mechanics Question Paper PDF Download

LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PHYSICS

FG 06

 

SECOND SEMESTER – APRIL 2008

PH 2501 – MECHANICS

 

 

 

Date : 23/04/2008                Dept. No.                                        Max. : 100 Marks

Time : 1:00 – 4:00

SECTION – A

Answer all the questions.                                                                    10×2 = 20 Marks

 

  1. State the law of conservation of angular momentum.
  2. Find the center of mass of three particles of 1kg, 2kg, and 3kg placed at the three corners of an

equilateral triangle of 1metre side.

  1. What are the conditions of equilibrium of a rigid body acted on by three coplanar forces?
  2. Define: (i) Metacentre and (ii) Metacentric height.
  3. What is meant by effusion of gases?
  4. State Torricelle’s theorem.
  5. What are generalized coordinates? What is the advantage of using them?
  6. State the principle of virtual work.
  7. What is a frame of reference? Distinguish between inertial and non-inertial frames.

10.Explain the law of addition of relativistic velocities.

SECTION B

Answer any four questions.                                                   4×7.5 = 30 Marks

 

  1. What is a torsional pendulum? Derive an expression for the time period of oscillation of a

torsional pendulum.

12 (a)  Define center of gravity.

(b)  Determine the position of centre of gravity of a solid tetrahedron.

  1. (a) State and explain Graham’s law of diffusion of gases.

(b) Obtain the equation of continuity for an incompressible fluid in streamline flow.

  1. Apply Lagrange’s equation to determine

(a) motion of a single particle in space and

(b) time period of oscillation of a simple pendulum.

  1. (a) Explain time – dilation with an example.

(b)  A π meson has a mean lifetime of 2×10-8s when measured at rest.  How far does it go before

decaying into another particle if its speed is 0.99c?

 

SECTION C

Answer any four questions.                                                               4×12.5 = 50 Marks

 

  1. What is a compound pendulum? Derive an expression for its time period of oscillation. Explain how the value of g is determined using it.
  2. (a) Define centre of pressure. Determine the position of center of pressure of a rectangular lamina immersed vertically in a liquid with one edge in the surface of the liquid.

(b) Find the thrust on the rectangular end of a tank of width 0.8m and depth 0.5m filled

completely with water. Find the position where it acts.

  1. State and prove Bernoulli’s theorem. Discuss any two applications of this theorem.
  2. (a) State an explain D’Alembert’s principle.

(b) Derive Lagrange’s equations of motion from D’Alembert’s principle for a holonomic

conservative system.

  1. (a) State the basic postulates of Einstein’s special theory of relativity.  Derive the Lorentz space –time transformation formulae.

(b)        A rod 5 metre long is moving along its length with a velocity 0.8c.  Calculate its length as it appears to an observer on the earth.

 

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